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Finding the Fourth Proportional to 11,226.06, 16,803 and 7,469.10

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Solution

The fourth proportional to 11,226.06, 16,803 and 7,469.10 is: 11,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.06 : 16,803 = 7,469.10 : x
  2. Step 2: Convert to fraction form
    11,226.06/16,803 = 7,469.10/x
  3. Step 3: Cross multiply
    11,226.06x = 16,803 × 7,469.10
  4. Step 4: Simplify right side
    11,226.06x = 125,503,287.30
  5. Step 5: Solve for x
    x = 125,503,287.30/11,226.06
  6. Step 6: Final answer
    x = 11,179.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.